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Finding the Third Proportional to 294.19 and 642.38

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Solution

The third proportional to 294.19 and 642.38 is: 1,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.19 : 642.38 = 642.38 : x
  2. Step 2: Convert to fraction form
    294.19/642.38 = 642.38/x
  3. Step 3: Cross multiply
    294.19x = 642.38 × 642.38
  4. Step 4: Simplify right side
    294.19x = 412,645.64
  5. Step 5: Solve for x
    x = 412,645.64/294.19
  6. Step 6: Final answer
    x = 1,402.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.